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ON PERMUTING 3-DERIVATIONS AND COMMUTATIVITY IN PRIME NEAR-RINGS

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주제분류수학

초록

In this note, we introduce a permuting 3-derivation in near-rings and investigate the conditions for a near-ring to be a commutative ring.

Abstract

In this note, we introduce a permuting 3-derivation in near-rings and investigate the conditions for a near-ring to be a commutative ring.

참고문헌 (10)

  1. M. Ashraf, "(¾, ¿)-derivations on prime near-rings", Archivum Mathematicum (BRNO), 40, pp.281~286 (2004), Tomus.
  2. H. E. Bell, "On derivations in near-rings, in Near-Rings and Near-Fields (T¨ubingen, 1985)", North-Holland Mathematics Studies, 137, pp.31~35 (1987)
  3. M. Breˇsar, "Commuting maps: a survey", Taiwanese J. Math., 8(3), pp.361~397 (2004)
  4. Y. C¸ even, "Some properties of symmetric bi-(¾, ¿)-derivations in near-rings", Commun. Korean Math. Soc., 22(4), pp.487~491 (2007)
  5. 정용수, "On prime and semiprime rings with permuting 3-derivations", 대한수학회보, 44(4), pp.789~794 (2007), 대한수학회
  6. G. Pilz, "Near-rings, 2nd Ed" (1983)
  7. E. C. Posner, "Derivations in prime rings", Proc. Amer. Math. Soc., 통권 : 8, pp.1093~1100 (1957)
  8. M. U¸ckun, "On trace of symmetric bi-gamma-derivations in gammanear-rings", Houston J. Math., 33(2), pp.323~339 (2007)
  9. J. Vukman, "Symmetric bi-derivations on prime and semi-prime rings", Aequationes Math., 38, pp.245~254 (1989)
  10. J. Vukman, "Two results concerning symmetric bi-derivations on prime rings", Aequationes Math., 40, pp.181~189 (1990)

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